EFFICIENT IMPLEMENTATION METHODOLOGY FOR 3-DIMENSIONAL SPACE-INVARIANT HYPERCUBE-BASED OPTICAL INTERCONNECTION NETWORKS

A new design methodology for constructing optical space-invariant hype rcube interconnection networks for connection of a two-dimensional arr ay of inputs to a two-dimensional array of outputs is presented. The m ethodology permits the construction of larger hypercube networks from smaller networks in a systematic and incremental fashion. It is shown that the proposed methodology greatly improves area utilization as com pared with previous methods. An example network is provided that illus trates the proposed design method. Owing to their totally space-invari ant nature, the resulting three-dimensional hypercube networks are hig hly amenable to optical implementations by use of simple optical hardw are such as multiple-imaging components and space-invariant holographi c techniques. We present a space-invariant optical implementation tech nique for the realization of such networks. A theoretical analysis of the physical limitations of the implementation method is also presente d. The analysis indicates that two-dimensional arrays of 512 x 512 nod es interconnected in a hypercube (18-cube) topology could be implement ed.